alleryIf A : B = 3 : 4 and B : C = 6 : 5, then A : B : C equals:
A9 : 12 : 10
B3 : 4 : 5
C18 : 24 : 20
D6 : 8 : 5
Answer & Solution
Correct answer: A. 9 : 12 : 10
1. B must carry the same value in both ratios before they can be joined.
2. B is 4 in the first and 6 in the second; the LCM of 4 and 6 is 12.
3. Scale the first by 3: A : B = 9 : 12.
4. Scale the second by 2: B : C = 12 : 10.
5. Joining them gives A : B : C = 9 : 12 : 10. Option C is the same ratio unsimplified, but 9 : 12 : 10 has no common factor, so it is the required form.
_Source: syllabus Maths, Ch 7 'Comparing Quantities', S7.1 Recalling Ratios and Percentages_
Keep practising Ratio and Proportion
Browse all Ratio and Proportion questions for AFCAT, or explore more Quantitative Aptitude topics.
Related questions
Two quantities are in direct proportion when, as one increases:A car uses 4 litres of petrol to travel 60 km. How far will it travel on 12 litres?Two numbers are in the ratio 5 : 7 and differ by 12. Their sum is:If a : b = 2 : 3 and b : c = 4 : 5, then a : c equals:An amount of 1200 is divided between two people in the ratio 3 : 5. The larger share is:Out of 25 fruits, 5 are oranges. What percentage of the fruits are apples?A basket holds 20 apples and 5 oranges. The ratio of oranges to apples in simplest form isIn mathematics, a ratio is used to: